One more fitting (D=5) of Supernovae redshifts

TL;DR

This paper proposes a 5D spherical shell model expanding relativistically in Minkowski space to fit supernova Ia redshifts, aligning with the Copernican principle and matching observations without free parameters.

Contribution

It introduces a novel 5D shell model for supernova redshifts that aligns with observations and the Copernican principle, differing from standard cosmological models.

Findings

Good fit to supernova data without free parameters

Model coincides with Milne at low redshift

Predicts increased luminosity at high redshift

Abstract

Supernova Ia redshifts are fitted with a simple $5D$ model: the galaxies are assumed to be enclosed in a giant $S^3$-spherical shell of significant thickness, which expands (ultra)relativisticaly in Minkowski (1+4)$D$-space. This model, as compared with the kinematic (1+3)$D$ Milne cosmological model (which was reinvented by Prof Farley), goes in line with the Copernican principle: any galaxy observes the same isotropic distribution of distant galaxies and supernovae, as well as the same Hubble plot of SN Ia distance modulus $\mu$ vs redshift $z$. A good fit is obtained (no free parameters); it coincides with the Milne model (empty model) at low $z$, while shows some more luminosity at high $z$, leading to 1% decrease in the true distance modulus (and 50% increase in luminosity) at $z\sim2$. The model proposed can be also interpreted as a sort of FLRW-model with the scale factor $a(t)=t/t_0$; this could hardly be a solution of general relativity (without inventing some super-dark energy with $w=-1/3$, a sort of dark curvature); 5$D$ GR is also unsuitable -- it has no longitudinal polarization. However, there still exists the other theory (with $D=5$ and no singularities in solutions), the other game in the town, which seems to be able to do the job.